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008 081110s2000 gw a |b 001 0 eng
020 _a3110144042 (alk. paper)
039 9 _a201402040058
_bVLOAD
_c201007191143
_dmalmash
_c200811111240
_dvenkatrajand
_c200811100938
_dNoora
_y200811100936
_zNoora
050 0 0 _aQA609
_b.A63 2000
100 1 _aApanasov, B. N.
_q(Boris Nikolaevich)
_937858
245 1 0 _aConformal Geometry of Discrete Groups and Manifolds /
_cby Boris N. Apanasov.
260 _aBerlin ;
_aNew York :
_bWalter de Gruyter,
_c2000.
300 _axiii, 523 p. :
_bill. ;
_c25 cm.
440 3 _aDe Gruyter expositions in mathematics,
_x0938-6572 ;
_v32
_937859
504 _aIncludes bibliographical references and index.
505 _aGeometric structures; discontinuous groups of homeomorphisms; basics of hyperbolic manifolds; geometrical finiteness; Kleinian manifolds; uniformization; theory of deformations.
520 _aThis book presents a systematic account of conformal geometry of n-manifolds, as well as its Riemannian counterparts. A unifying theme is their discrete holonomy groups. In particular, hyperbolic manifolds, in dimension 3 and higher, are addressed. The treatment covers also relevant topology, algebra (including combinatorial group theory and varieties of group representations), arithmetic issues, and dynamics. Progress in these areas has been very fast sicne the 1980s, especially due to the Thurston geometrization program, leading to the solution of many difficult problems. A strong effort has been made to point out new connections and perspectives in the field and to illustrate various aspects of the theory. An intuitive approach which emphasizes the ideas behind the constructions is complemented by a large number of examples and figures which both use and support the reader's geometric imagination.
650 0 _aConformal geometry.
_937860
650 0 _aDiscrete groups.
_910182
650 0 _aManifolds (Mathematics)
_931254
942 _2lcc
_n0
_cBK
999 _c16826
_d16826